JEE Main Maths · Relations and Functions

Equivalence Relations

Equivalence Relations (Relations and Functions) was asked 5 times in 5 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed. 1 of the 5 had a numerical answer.

Times asked: 5; in 5 shifts
Years: 2021–2025
Usual format: Single correct; Conceptual
Pattern: Comes in cycles; repeats across shifts

How it is asked

Count elements of relation
Classify relation on set of functions

Difficulty

Easy 2Medium 3Hard 0

Where it sits

Chapter: Relations and Functions. Topic: Sets and Relations, 25 questions over 10 ideas.

All 5 questions

Newest first, each with its options and official answer.

2 Apr 2025, Shift 1 · Q12Let A be the set of all functions $f:\mathbf{Z}\to\mathbf{Z}$ and R be a relation on A such that…EasySingle correct
31 Jan 2024, Shift 1 · Q21Let $A=\{1,2,3,4\}$ and $R=\{(1,2),(2,3),(1,4)\}$ be a relation on A. Let S be the equivalence relation on A such that $R\subset S$ and…MediumNumerical value
28 Jul 2022, Shift 1 · Q8For $\alpha\in\mathbf{N}$ , consider a relation $R$ on $\mathbf{N}$ given by $R=\{(x,y):3x+\alpha y\text{ is a multiple of }7\}$ . The…MediumSingle correct
29 Jun 2022, Shift 1 · Q11Let a set $A = A_1 \cup A_2 \cup \ldots \cup A_k$ , where $A_i \cap A_j = \phi$ for $i \ne j$ , $1 \le i, j \le k$ . Define the relation R…EasySingle correct
16 Mar 2021, Shift 2 · Q71Let $A=\{2,3,4,5,\ldots,30\}$ and ' $\simeq$ ' be an equivalence relation on $A\times A$ , defined by $(a,b)\simeq(c,d)$ , if and only if…MediumSingle correct